What are the solutions to the equation z^2-6z+9-z^3=0 ?

The solutions to the equation z^2-6z+9-z^3=0 are z\approx 1.37958…

Find the zeros of z^2-6z+9-z^3=0

The zeros of z^2-6z+9-z^3=0 are z\approx 1.37958…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

z^{2} - 6 z + 9 - z^{3} = 0

z \approx 1.37958 \dots

Solution steps

z^{2} - 6 z + 9 - z^{3} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- z^{3} + z^{2} - 6 z + 9 = 0

Find one solution for

- z^{3} + z^{2} - 6 z + 9 = 0

using Newton-Raphson:

z \approx 1.37958 \dots

Apply long division:

\frac{- z ^{3} + z ^{2} - 6 z + 9}{z - 1.37958 \dots} = - z^{2} - 0.37958 \dots z - 6.52367 \dots

- z^{2} - 0.37958 \dots z - 6.52367 \dots \approx 0

Find one solution for

- z^{2} - 0.37958 \dots z - 6.52367 \dots = 0

using Newton-Raphson:

No Solution for

z \in R

The solution is

z \approx 1.37958 \dots

d^{4} = 4

x, (y + 1)^{3} = x^{3} - 2

\frac{x ^{5}}{9} = 3^{10}

2 x^{3} - 2 x^{2} + x - 1 = 0

- x^{4} + 10 x^{2} - x - 20 = 0

What are the solutions to the equation z^2-6z+9-z^3=0 ?
The solutions to the equation z^2-6z+9-z^3=0 are z\approx 1.37958…
Find the zeros of z^2-6z+9-z^3=0
The zeros of z^2-6z+9-z^3=0 are z\approx 1.37958…